1874288160 has 168 divisors, whose sum is σ = 6639384780. Its totient is φ = 499779072.

The previous prime is 1874288149. The next prime is 1874288189. The reversal of 1874288160 is 618824781.

It can be written as a sum of positive squares in 2 ways, for example, as 1801493136 + 72795024 = 42444^2 + 8532^2 .

It is a super-2 number, since 2×1874288160² = 7025912213432371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 108606 + ... + 124674.

Almost surely, 2^1874288160 is an apocalyptic number.

1874288160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1874288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319692390).

1874288160 is an abundant number, since it is smaller than the sum of its proper divisors (4765096620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1874288160 is an equidigital number, since it uses as much as digits as its factorization.

1874288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16102 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1874288160 is about 43293.0497886208. The cubic root of 1874288160 is about 1232.9499686663.

The spelling of 1874288160 in words is "one billion, eight hundred seventy-four million, two hundred eighty-eight thousand, one hundred sixty".